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Finding the Fourth Proportional to 511.67, 706.15 and 312.50

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Solution

The fourth proportional to 511.67, 706.15 and 312.50 is: 431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 706.15 = 312.50 : x
  2. Step 2: Convert to fraction form
    511.67/706.15 = 312.50/x
  3. Step 3: Cross multiply
    511.67x = 706.15 × 312.50
  4. Step 4: Simplify right side
    511.67x = 220,674.03
  5. Step 5: Solve for x
    x = 220,674.03/511.67
  6. Step 6: Final answer
    x = 431.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.